%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT289+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:43 PM UTC 2026
% Result : Theorem 18.24s 5.93s
% Output : CNFRefutation 18.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 13 unt; 0 def)
% Number of atoms : 302 ( 8 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 384 ( 144 ~; 124 |; 84 &)
% ( 4 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 74 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t27_lopclset,conjecture,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& v1_filter_0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_lopclset) ).
fof(cc1_realset1,axiom,
! [X1] :
( ~ v1_realset1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+117.ax',cc1_realset1) ).
fof(d5_realset2,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( v3_realset2(X1)
<=> v1_realset1(u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+225.ax',d5_realset2) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_l1_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_l3_lattices) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,X1)
& m1_relset_1(X3,X1,X2)
& v1_funct_2(X3,X1,X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+20.ax',redefinition_k8_funct_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).
fof(dt_k9_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& v1_funct_1(k9_lopclset(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_lopclset) ).
fof(redefinition_k9_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
fof(t21_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
<=> ( r2_hidden(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_lopclset) ).
fof(dt_k8_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_funct_1(k8_lopclset(X1))
& v1_relat_1(k8_lopclset(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_lopclset) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& v1_filter_0(X3,X1) ) ) ) ),
inference(assume_negation,[status(cth)],[t27_lopclset]) ).
fof(c_0_12,plain,
! [X1] :
( ~ v1_realset1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc1_realset1]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& v1_filter_0(X3,X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X167] :
( ( ~ l1_struct_0(X167)
| v3_realset2(X167)
| ~ v1_realset1(u1_struct_0(X167)) )
& ( ~ l1_struct_0(X167)
| v1_realset1(u1_struct_0(X167))
| ~ v3_realset2(X167) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_realset2])])])]) ).
fof(c_0_15,plain,
! [X639] :
( ~ v1_xboole_0(X639)
| v1_realset1(X639) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_16,negated_conjecture,
( r2_hidden(esk2_0,esk3_0)
& ~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0))
& v1_filter_0(esk3_0,esk1_0)
& m1_filter_0(esk3_0,esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& l3_lattices(esk1_0)
& ~ v3_realset2(esk1_0)
& v17_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_17,plain,
( ~ l1_struct_0(X1)
| ~ v1_realset1(u1_struct_0(X1))
| v3_realset2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( ~ v1_xboole_0(X1)
| v1_realset1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X1606] :
( l1_struct_0(X1606)
| ~ l1_lattices(X1606) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])]) ).
fof(c_0_20,plain,
! [X1608] :
( ( ~ l3_lattices(X1608)
| l2_lattices(X1608) )
& ( ~ l3_lattices(X1608)
| l1_lattices(X1608) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
fof(c_0_21,plain,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,X1)
& m1_relset_1(X3,X1,X2)
& v1_funct_2(X3,X1,X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
cnf(c_0_22,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_realset2(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X74,X75,X76,X77] :
( k8_funct_2(X74,X75,X76,X77) = k1_funct_1(X76,X77)
| ~ m1_subset_1(X77,X74)
| ~ m1_relset_1(X76,X74,X75)
| ~ v1_funct_2(X76,X74,X75)
| ~ v1_funct_1(X76)
| v1_xboole_0(X74) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_27,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
( ~ l3_lattices(X1)
| l1_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,plain,
( ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X2,X1,X3)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_1(X2)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
fof(c_0_34,plain,
! [X195,X196,X197] :
( ( m2_relset_1(X197,X195,X196)
| ~ m1_relset_1(X197,X195,X196) )
& ( m1_relset_1(X197,X195,X196)
| ~ m2_relset_1(X197,X195,X196) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_35,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& v1_funct_1(k9_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_lopclset]) ).
cnf(c_0_36,negated_conjecture,
( ~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_0))
| ~ v1_funct_1(k9_lopclset(esk1_0))
| ~ m1_relset_1(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)))
| ~ v1_funct_2(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_37,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_38,plain,
! [X82] :
( ( ~ l3_lattices(X82)
| v3_realset2(X82)
| ~ v17_lattices(X82)
| ~ v10_lattices(X82)
| v3_struct_0(X82)
| m2_relset_1(k9_lopclset(X82),u1_struct_0(X82),k1_zfmisc_1(k7_lopclset(X82))) )
& ( ~ l3_lattices(X82)
| v3_realset2(X82)
| ~ v17_lattices(X82)
| ~ v10_lattices(X82)
| v3_struct_0(X82)
| v1_funct_2(k9_lopclset(X82),u1_struct_0(X82),k1_zfmisc_1(k7_lopclset(X82))) )
& ( ~ l3_lattices(X82)
| v3_realset2(X82)
| ~ v17_lattices(X82)
| ~ v10_lattices(X82)
| v3_struct_0(X82)
| v1_funct_1(k9_lopclset(X82)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
cnf(c_0_39,negated_conjecture,
( ~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_0))
| ~ v1_funct_1(k9_lopclset(esk1_0))
| ~ m2_relset_1(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)))
| ~ v1_funct_2(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_realset2(X1)
| v3_struct_0(X1)
| v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_41,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_42,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_44,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_lopclset]) ).
cnf(c_0_45,negated_conjecture,
( ~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_0))
| ~ v1_funct_1(k9_lopclset(esk1_0))
| ~ m2_relset_1(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),c_0_29])]),c_0_22]),c_0_43]) ).
cnf(c_0_46,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_realset2(X1)
| v3_struct_0(X1)
| m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_47,plain,
! [X83] :
( k9_lopclset(X83) = k8_lopclset(X83)
| ~ l3_lattices(X83)
| v3_realset2(X83)
| ~ v17_lattices(X83)
| ~ v10_lattices(X83)
| v3_struct_0(X83) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
fof(c_0_48,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
<=> ( r2_hidden(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t21_lopclset]) ).
cnf(c_0_49,negated_conjecture,
( ~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_0))
| ~ v1_funct_1(k9_lopclset(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_41]),c_0_42]),c_0_29])]),c_0_22]),c_0_43]) ).
cnf(c_0_50,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| k9_lopclset(X1) = k8_lopclset(X1)
| v3_realset2(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_51,plain,
! [X421,X422,X423] :
( ( ~ l3_lattices(X421)
| v3_realset2(X421)
| ~ v17_lattices(X421)
| ~ v10_lattices(X421)
| v3_struct_0(X421)
| ~ m1_subset_1(X422,u1_struct_0(X421))
| ~ m1_filter_0(X423,X421)
| r2_hidden(X423,k1_funct_1(k8_lopclset(X421),X422))
| ~ r2_hidden(X422,X423)
| ~ v1_filter_0(X423,X421) )
& ( ~ l3_lattices(X421)
| v3_realset2(X421)
| ~ v17_lattices(X421)
| ~ v10_lattices(X421)
| v3_struct_0(X421)
| ~ m1_subset_1(X422,u1_struct_0(X421))
| ~ m1_filter_0(X423,X421)
| ~ r2_hidden(X423,k1_funct_1(k8_lopclset(X421),X422))
| r2_hidden(X422,X423) )
& ( ~ l3_lattices(X421)
| v3_realset2(X421)
| ~ v17_lattices(X421)
| ~ v10_lattices(X421)
| v3_struct_0(X421)
| ~ m1_subset_1(X422,u1_struct_0(X421))
| ~ m1_filter_0(X423,X421)
| ~ r2_hidden(X423,k1_funct_1(k8_lopclset(X421),X422))
| v1_filter_0(X423,X421) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])])]) ).
fof(c_0_52,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_funct_1(k8_lopclset(X1))
& v1_relat_1(k8_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_lopclset]) ).
cnf(c_0_53,negated_conjecture,
( ~ r2_hidden(esk3_0,k1_funct_1(k8_lopclset(esk1_0),esk2_0))
| ~ v1_funct_1(k8_lopclset(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_41]),c_0_42]),c_0_29])]),c_0_22]),c_0_43]) ).
cnf(c_0_54,plain,
( ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ r2_hidden(X3,X1)
| ~ v1_filter_0(X1,X2)
| v3_realset2(X2)
| v3_struct_0(X2)
| r2_hidden(X1,k1_funct_1(k8_lopclset(X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_55,negated_conjecture,
v1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_56,negated_conjecture,
m1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_57,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_58,plain,
! [X415] :
( ( ~ l3_lattices(X415)
| v3_realset2(X415)
| ~ v17_lattices(X415)
| ~ v10_lattices(X415)
| v3_struct_0(X415)
| v1_funct_1(k8_lopclset(X415)) )
& ( ~ l3_lattices(X415)
| v3_realset2(X415)
| ~ v17_lattices(X415)
| ~ v10_lattices(X415)
| v3_struct_0(X415)
| v1_relat_1(k8_lopclset(X415)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
cnf(c_0_59,negated_conjecture,
~ v1_funct_1(k8_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]),c_0_41]),c_0_42]),c_0_29]),c_0_32]),c_0_57])]),c_0_22]),c_0_43]) ).
cnf(c_0_60,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_realset2(X1)
| v3_struct_0(X1)
| v1_funct_1(k8_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_41]),c_0_42]),c_0_29])]),c_0_22]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT289+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 % Computer : n015.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 20 23:31:08 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.48 Running first-order theorem proving
% 0.14/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.24/5.93 % Version: 3.5.1
% 18.24/5.93 % Preprocessing class: FMLLSMLLSSSNFFN.
% 18.24/5.93 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.24/5.93 % Starting new_bool_3 with 900s (3) cores
% 18.24/5.93 % Starting new_bool_1 with 900s (3) cores
% 18.24/5.93 % Starting sh5l with 300s (1) cores
% 18.24/5.93 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 18.24/5.93 % new_bool_3 with pid 4185475 completed with status 0
% 18.24/5.93 % Result found by new_bool_3
% 18.24/5.93 % Preprocessing class: FMLLSMLLSSSNFFN.
% 18.24/5.93 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.24/5.93 % Starting new_bool_3 with 900s (3) cores
% 18.24/5.93 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 18.24/5.93 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 18.24/5.93 % Search class: FGHSM-SMLM32-MFFFFFNN
% 18.24/5.93 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 18.24/5.93 % Starting SubtermCWHack with 82s (1) cores
% 18.24/5.93 % Starting new_bool_3 with 91s (1) cores
% 18.24/5.93 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 18.24/5.93 % C12_02_nc_SAT001_MinMin_p005000_rr with pid 4185485 completed with status 0
% 18.24/5.93 % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 18.24/5.93 % Preprocessing class: FMLLSMLLSSSNFFN.
% 18.24/5.93 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.24/5.93 % Starting new_bool_3 with 900s (3) cores
% 18.24/5.93 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 18.24/5.93 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 18.24/5.93 % Search class: FGHSM-SMLM32-MFFFFFNN
% 18.24/5.93 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 18.24/5.93 % Starting SubtermCWHack with 82s (1) cores
% 18.24/5.93 % Starting new_bool_3 with 91s (1) cores
% 18.24/5.93 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 18.24/5.93 % Preprocessing time : 0.085 s
% 18.24/5.93 % Presaturation interreduction done
% 18.24/5.93
% 18.24/5.93 % Proof found!
% 18.24/5.93 % SZS status Theorem
% 18.24/5.93 % SZS output start CNFRefutation
% See solution above
% 18.24/5.94 % Parsed axioms : 12391
% 18.24/5.94 % Removed by relevancy pruning/SinE : 11378
% 18.24/5.94 % Initial clauses : 2096
% 18.24/5.94 % Removed in clause preprocessing : 97
% 18.24/5.94 % Initial clauses in saturation : 1999
% 18.24/5.94 % Processed clauses : 14182
% 18.24/5.94 % ...of these trivial : 62
% 18.24/5.94 % ...subsumed : 8907
% 18.24/5.94 % ...remaining for further processing : 5213
% 18.24/5.94 % Other redundant clauses eliminated : 450
% 18.24/5.94 % Clauses deleted for lack of memory : 0
% 18.24/5.94 % Backward-subsumed : 82
% 18.24/5.94 % Backward-rewritten : 34
% 18.24/5.94 % Generated clauses : 49435
% 18.24/5.94 % ...of the previous two non-redundant : 45794
% 18.24/5.94 % ...aggressively subsumed : 0
% 18.24/5.94 % Contextual simplify-reflections : 113
% 18.24/5.94 % Paramodulations : 48968
% 18.24/5.94 % Factorizations : 9
% 18.24/5.94 % NegExts : 0
% 18.24/5.94 % Equation resolutions : 463
% 18.24/5.94 % Disequality decompositions : 0
% 18.24/5.94 % Total rewrite steps : 7277
% 18.24/5.94 % ...of those cached : 6124
% 18.24/5.94 % Propositional unsat checks : 1
% 18.24/5.94 % Propositional check models : 0
% 18.24/5.94 % Propositional check unsatisfiable : 0
% 18.24/5.94 % Propositional clauses : 0
% 18.24/5.94 % Propositional clauses after purity: 0
% 18.24/5.94 % Propositional unsat core size : 0
% 18.24/5.94 % Propositional preprocessing time : 0.000
% 18.24/5.94 % Propositional encoding time : 0.121
% 18.24/5.94 % Propositional solver time : 0.118
% 18.24/5.94 % Success case prop preproc time : 0.000
% 18.24/5.94 % Success case prop encoding time : 0.000
% 18.24/5.94 % Success case prop solver time : 0.000
% 18.24/5.94 % Current number of processed clauses : 3034
% 18.24/5.94 % Positive orientable unit clauses : 289
% 18.24/5.94 % Positive unorientable unit clauses: 2
% 18.24/5.94 % Negative unit clauses : 458
% 18.24/5.94 % Non-unit-clauses : 2285
% 18.24/5.94 % Current number of unprocessed clauses: 35174
% 18.24/5.94 % ...number of literals in the above : 140591
% 18.24/5.94 % Current number of archived formulas : 0
% 18.24/5.94 % Current number of archived clauses : 1990
% 18.24/5.94 % Clause-clause subsumption calls (NU) : 3875771
% 18.24/5.94 % Rec. Clause-clause subsumption calls : 618369
% 18.24/5.94 % Non-unit clause-clause subsumptions : 3645
% 18.24/5.94 % Unit Clause-clause subsumption calls : 181812
% 18.24/5.94 % Rewrite failures with RHS unbound : 0
% 18.24/5.94 % BW rewrite match attempts : 280
% 18.24/5.94 % BW rewrite match successes : 180
% 18.24/5.94 % Condensation attempts : 0
% 18.24/5.94 % Condensation successes : 0
% 18.24/5.94 % Termbank termtop insertions : 1340652
% 18.24/5.94 % Search garbage collected termcells : 139553
% 18.24/5.94
% 18.24/5.94 % -------------------------------------------------
% 18.24/5.94 % User time : 4.215 s
% 18.24/5.94 % System time : 0.177 s
% 18.24/5.94 % Total time : 4.392 s
% 18.24/5.94 % Maximum resident set size: 27696 pages
% 18.24/5.94
% 18.24/5.94 % -------------------------------------------------
% 18.24/5.94 % User time : 12.927 s
% 18.24/5.94 % System time : 0.507 s
% 18.24/5.94 % Total time : 13.433 s
% 18.24/5.94 % Maximum resident set size: 21248 pages
% 18.24/5.94 % E exiting
%------------------------------------------------------------------------------